1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stiv31 [10]
2 years ago
13

The sum of three numbers is 102. The first number is 6 more than the second. The third number is 4 times the second. What are th

e numbers?
Mathematics
1 answer:
const2013 [10]2 years ago
6 0

Answer:

1st number: 22

2nd number: 16

3rd number: 64

Step-by-step explanation:

x + y + z = 102

x = 6 + y

z = 4y

plug that in!

(6 + y) + y + (4y) = 102

get rid of the parenthesis (I added them so you could see what I was replacing) and add like terms.

6 + 6y = 102

move 6 to the other side.

6y = 96

y = 16

now that you know one number, you can solve the equations for the rest!

x = 6 + (16)

z = 4(16)

__________________________________________________________

x = 22

y = 16

z = 64

You might be interested in
A train has one engine and six train cars. Find the total number of ways an engineer can arrange the train. (The engine must be
enot [183]

Answer: 720 ways

Step-by-step explanation:

Given

A train has 1 main engine and remaining 6 train cars

If the engine is always in the front the remaining train cars can be arranged is

\Rightarrow \text{No. of ways}=6!=720\ \text{ways}

4 0
3 years ago
4 value of 546 210 in words
FrozenT [24]
Five hinder and fourty six and two hundred and ten
3 0
3 years ago
Enter an
bekas [8.4K]

Answer:

9 - n

Step-by-step explanation:

could you make me brainliest if this helped? :)

6 0
3 years ago
Which of the following is an example of discrete data?
ahrayia [7]

Answer:

D- the number of times you get heads when you flip a coin 100 times

Step-by-step explanation:

7 0
3 years ago
Memory module consists of 9 chips. The device is designed with redundancy so that it works even if one of its chips is defective
soldier1979 [14.2K]

Answer:

a) P[C]=p^n

b) P[M]=p^{8n}(9-8p^n)

c) n=62

d) n=138

Step-by-step explanation:

Note: "Each chip contains n transistors"

a) A chip needs all n transistor working to function correctly. If p is the probability that a transistor is working ok, then:

P[C]=p^n

b) The memory module works with when even one of the chips is defective. It means it works either if 8 chips or 9 chips are ok. The probability of the chips failing is independent of each other.

We can calculate this as a binomial distribution problem, with n=9 and k≥8:

P[M]=P[C_9]+P[C_8]\\\\P[M]=\binom{9}{9}P[C]^9(1-P[C])^0+\binom{9}{8}P[C]^8(1-P[C])^1\\\\P[M]=P[C]^9+9P[C]^8(1-P[C])\\\\P[M]=p^{9n}+9p^{8n}(1-p^n)\\\\P[M]=p^{8n}(p^{n}+9(1-p^n))\\\\P[M]=p^{8n}(9-8p^n)

c)

P[M]=(0.999)^{8n}(9-8(0.999)^n)=0.9

This equation was solved graphically and the result is that the maximum number of chips to have a reliability of the memory module equal or bigger than 0.9 is 62 transistors per chip. See picture attached.

d) If the memoty module tolerates 2 defective chips:

P[M]=P[C_9]+P[C_8]+P[C_7]\\\\P[M]=\binom{9}{9}P[C]^9(1-P[C])^0+\binom{9}{8}P[C]^8(1-P[C])^1+\binom{9}{7}P[C]^7(1-P[C])^2\\\\P[M]=P[C]^9+9P[C]^8(1-P[C])+36P[C]^7(1-P[C])^2\\\\P[M]=p^{9n}+9p^{8n}(1-p^n)+36p^{7n}(1-p^n)^2

We again calculate numerically and graphically and determine that the maximum number of transistor per chip in this conditions is n=138. See graph attached.

6 0
3 years ago
Other questions:
  • The point (-3/5,y)in the third quadrant corresponds to angle θ on the unit circle.
    9·2 answers
  • it takes alden 6 hours to bale all the hay in a field, but his brother, anthony , can do the same job in 7 hours. if they bale a
    6·1 answer
  • Find the shortest distance from A to C in the diagram below.
    15·1 answer
  • Determine the contrapositive of the conditional statement: If My Mom has to work, then I babysit my little sister.
    5·1 answer
  • Solve the following equation when x = 2 and y = 4 . 3x + 2y + 4 =
    12·2 answers
  • Benz and Jacobs Accounting purchased a new computer system for $3,500. The total resale value after 5 years is estimated to be $
    14·1 answer
  • Domain of y= 6x+13/x^2-4x-12
    14·1 answer
  • Write the set of all real numbers greater than 19 and less than 32 in set-builder notation.
    8·1 answer
  • What is the length of PR
    15·1 answer
  • Three consecutive even integers have a sum of 18. find the integers ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!